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28 votes
28 votes
Find the equation of the line that is parallel

to the line y = -5x - 9 and passes
through the point (-4,-9) Write the
equation in slope-intercept form.

User Sovanrothaa
by
2.9k points

1 Answer

18 votes
18 votes

A parallel line would contain the same slope and have a different y-intercept.

Using the slope of the original line you would start with:

Y = -5x + b, where b is the new y-intercept.

Using the given point replace x and y and solve for b:

-9 = -5(-4) + b

Simplify:

-9 = 20 + b

Subtract 20 from both sides

-29 = b

Now replace b in the equation to get:

Y = -5x -29

User Steph Thirion
by
3.1k points